Details

Time bar (total: 5.9s)

sample75.0ms

Algorithm
intervals
Results
29.0ms58×body1280valid
14.0ms46×body640valid
8.0ms146×body80valid
5.0ms26×body320valid
5.0ms117×body80nan
2.0ms18×body160valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0156
1246
2516
31086
43104
57924
641924
750024

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 8.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
4.7b
(pow (/ x (+ x y)) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 178
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(/ (pow (/ x (+ x y)) x) x)
10.0ms
(pow (/ x (+ x y)) x)

series394.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ x (+ x y))
127.0ms
(/ (pow (/ x (+ x y)) x) x)
227.0ms
(pow (/ x (+ x y)) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05541456
127251426
250021426

prune342.0ms

Filtered
187 candidates to 137 candidates (73.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1834187
Fresh000
Picked101
Done000
Total1844188

Merged error: 0.0b

Counts
188 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×expm1-log1p-u frac-times prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 124
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
18.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series859.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
167.0ms
(cbrt x)
260.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
260.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07081370
122441300
250021271

prune372.0ms

Filtered
136 candidates to 98 candidates (72.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done000
Total1364140

Merged error: 0.0b

Counts
140 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
3.9b
(cbrt (/ x (+ x y)))
3.9b
(cbrt (/ x (+ x y)))
3.9b
(cbrt (/ x (+ x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
12×pow1
9×pow-pow pow1/3 distribute-lft-out
7×add-exp-log
6×associate-/r/
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow cbrt-div flip3-+ flip-+ div-inv
2×pow-prod-down pow-exp pow-sqr pow-prod-up
1×pow2 pow-to-exp unpow-prod-down pow-plus prod-exp sqr-pow
Counts
4 → 113
Calls
4 calls:
12.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
4.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(pow (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) x)
125.0ms
(cbrt (/ x (+ x y)))
116.0ms
(cbrt (/ x (+ x y)))
121.0ms
(cbrt (/ x (+ x y)))

simplify171.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0284837
11000806
24439791
35001791

prune301.0ms

Filtered
125 candidates to 94 candidates (75.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done011
Total1254129

Merged error: 0.0b

Counts
129 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (* -1 y)) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×pow1 cbrt-undiv exp-neg expm1-log1p-u frac-2neg mul-1-neg div-exp clear-num log1p-expm1-u div-inv associate-/l/ add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ (exp (* -1 y)) x)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (exp (* -1 y)) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0118194
1313179
21512177
35001177

prune55.0ms

Filtered
33 candidates to 25 candidates (75.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New31233
Fresh011
Picked011
Done022
Total31637

Merged error: 0b

Counts
37 → 6

regimes86.0ms

Accuracy

92.1% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 6.7b

bsearch77.0ms

Steps
ItersRangePoint
5
5.324328179266524e-12
2.0157742232178803e-11
1.9720800670118702e-11
8
-1.3627918296099679e+31
-4.541700328257963e+27
-2.457370753478212e+30

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03423
13423

end0.0ms

sample2.1s

Algorithm
intervals
Results
727.0ms1494×body1280valid
448.0ms1488×body640valid
270.0ms4932×body80valid
173.0ms878×body320valid
128.0ms3078×body80nan
55.0ms422×body160valid